Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
45024n |
Isogeny class |
Conductor |
45024 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
795648 |
Modular degree for the optimal curve |
Δ |
-620402662936099008 = -1 · 26 · 37 · 72 · 676 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42630,-37730196] |
[a1,a2,a3,a4,a6] |
Generators |
[1365:50652:1] |
Generators of the group modulo torsion |
j |
133868854905367616/9693791608376547 |
j-invariant |
L |
5.8225526778755 |
L(r)(E,1)/r! |
Ω |
0.13766406394636 |
Real period |
R |
1.0070326462962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45024g1 90048bi2 |
Quadratic twists by: -4 8 |